Understanding the Area of a Sector

The video tutorial explains how to find the area of a sector, likening it to a pizza slice. It introduces the formula for calculating the area of a sector using the circle's radius and the angle of the sector. The tutorial provides a step-by-step example, using a 60-degree angle and a radius of 18, to demonstrate the calculation process. The area of the entire circle is calculated first, followed by determining the fraction of the circle represented by the sector. The final result is the area of the sector, which is a fraction of the total circle's area.

What is a sector often compared to in everyday terms?

• A slice of bread

• A slice of pizza

• A slice of cake

• A slice of pie

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CCSS.HSG.C.B.5

Which formula component represents the fraction of the circle in the sector area calculation?

• r squared

• n/360

• 2 pi r

• pi

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CCSS.HSG.C.B.5

What two pieces of information are needed to calculate the area of a sector?

• Diameter and circumference

• Angle and radius

• Radius and diameter

• Angle and circumference

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If the radius of a circle is 18, what is the area of the circle?

• 36 pi

• 81 pi

• 18 pi

• 324 pi

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CCSS.8.G.A.5

How is the fraction 60°/360° simplified in the context of sector area calculation?

• 1/6

• 1/4

• 1/5

• 1/3

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CCSS.HSG.C.B.5

What is the final area of the sector when the circle's area is 324 pi and the angle is 60°?

• 162 pi

• 108 pi

• 216 pi

• 54 pi

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CCSS.HSG.CO.A.1

What fraction of the circle does a 60° sector represent?

• 1/3

• 1/4

• 1/6

• 1/5

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CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the total degree measure of a full circle?

• 180°

• 90°

• 270°

• 360°

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Why do we multiply the circle's area by a fraction to find the sector's area?

• To find the radius

• To find the fraction of the circle

• To find the circumference

• To find the diameter

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What is the relationship between the sector's angle and the full circle?

• The sector's angle is equal to the full circle

• The sector's angle is a fraction of the full circle

• The sector's angle is double the full circle

• The sector's angle is always half of the full circle

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